Serbest birleşmeli cebirlerin alt cebirleri

Abstract

Bu çalışmada öncelikle serbest birleşmeli cebirler ve alt cebirlerin yapısınıanlamak icin temel olan konular ile P.M.Cohn (1963) un makalesinden elde edilensonuclar ve bu sonuclann uygulamalan incelenmistir,Anahtar Kelimeler: Serbest birlesmeli cebirler, Serbest Lie cebirleri, PoincareBirkhoff- Witt Teoremi, Lie cebirlerin otomorfizmleri, Tersfonksiyon teoremi

In this study, firstly the basic subjects which are necessary to understandthe structure of free-associative algebras and sub-algebras of free-associativealgebras were studied. Then, the results obtained from the article of P.M.Cohn(1963) and the applications of these results were examined.Key words: Free-associative algebras, Free Lie algebras, Poincare-Birkhoff-WittTheorem, Automorphism of Lie algebras, Inverse function theorem.